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525420224 = 26717193631
BaseRepresentation
bin11111010100010…
…100011011000000
31100121200010001022
4133110110123000
52034001421344
6124045325012
716006666250
oct3724243300
91317603038
10525420224
1124a649a9a
12127b66768
1384b15654
144dad1960
15311da0ee
hex1f5146c0

525420224 has 112 divisors (see below), whose sum is σ = 1328440320. Its totient is φ = 200724480.

The previous prime is 525420197. The next prime is 525420227. The reversal of 525420224 is 422024525.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 525420193 and 525420202.

It is not an unprimeable number, because it can be changed into a prime (525420227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142889 + ... + 146519.

Almost surely, 2525420224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 525420224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664220160).

525420224 is an abundant number, since it is smaller than the sum of its proper divisors (803020096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

525420224 is a wasteful number, since it uses less digits than its factorization.

525420224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3686 (or 3676 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 26.

The square root of 525420224 is about 22922.0466799978. The cubic root of 525420224 is about 806.9295041624.

Adding to 525420224 its reverse (422024525), we get a palindrome (947444749).

The spelling of 525420224 in words is "five hundred twenty-five million, four hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 17 19 28 32 34 38 56 64 68 76 112 119 133 136 152 224 238 266 272 304 323 448 476 532 544 608 646 952 1064 1088 1216 1292 1904 2128 2261 2584 3631 3808 4256 4522 5168 7262 7616 8512 9044 10336 14524 18088 20672 25417 29048 36176 50834 58096 61727 68989 72352 101668 116192 123454 137978 144704 203336 232384 246908 275956 406672 432089 482923 493816 551912 813344 864178 965846 987632 1103824 1172813 1626688 1728356 1931692 1975264 2207648 2345626 3456712 3863384 3950528 4415296 4691252 6913424 7726768 8209691 9382504 13826848 15453536 16419382 18765008 27653696 30907072 32838764 37530016 65677528 75060032 131355056 262710112 525420224